{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "f5ca8427-06f0-440d-8035-36508ae05074",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "第100次训练，损失值: 0.5875\n",
      "第200次训练，损失值: 0.0836\n",
      "第300次训练，损失值: 0.0747\n",
      "第400次训练，损失值: 0.0746\n",
      "第500次训练，损失值: 0.0746\n",
      "第600次训练，损失值: 0.0746\n",
      "第700次训练，损失值: 0.0746\n",
      "第800次训练，损失值: 0.0746\n",
      "第900次训练，损失值: 0.0746\n",
      "第1000次训练，损失值: 0.0746\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练的斜率 2.993838310241699 (真实w值:3)\n",
      "训练的截距 5.451807022094727 (真实b值:5)\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 关键：强制指定英文字体，消除字体缺失警告\n",
    "plt.rcParams['font.family'] = 'DejaVu Sans'  # 系统默认英文字体，无需额外安装\n",
    "\n",
    "#真实的截距和斜率\n",
    "true_w = 3\n",
    "true_b = 5\n",
    "#生成的噪声，模拟近似直线的散点数据\n",
    "noise = torch.rand(100)\n",
    "x = torch.linspace(-5, 5, 100)\n",
    "y_true = true_w * x + true_b + noise\n",
    "\n",
    "# 可视化生成的散点数据\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(x.numpy(), y_true.numpy(), alpha=0.6, label='Sandian')\n",
    "# 绘制真实直线\n",
    "plt.plot(x.numpy(), 3*x.numpy() + 5.0, 'r-', label='True Line')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "#随机初始化w和b\n",
    "w = torch.randn(1, requires_grad=True)\n",
    "b = torch.randn(1, requires_grad=True)\n",
    "\n",
    "#设置训练超参\n",
    "learning_rate = 0.01  # 学习率\n",
    "epochs = 1000         # 训练次数\n",
    "losses = []           # 保存每次的损失值\n",
    "\n",
    "#梯度下降训练\n",
    "for i in range(epochs):\n",
    "    y_pred = w * x + b  # 计算预测值: y_pred = w*x + b\n",
    "    loss = torch.mean((y_pred - y_true) ** 2)  # 计算损失（均方误差）\n",
    "    losses.append(loss.item())            # 记录损失\n",
    "    \n",
    "    loss.backward()   #计算当前损失相对于所有可训练参数的梯度\n",
    "    \n",
    "    #更新参数（不记录梯度）\n",
    "    with torch.no_grad():\n",
    "        w -= learning_rate * w.grad\n",
    "        b -= learning_rate * b.grad\n",
    "        \n",
    "        #清空梯度，避免影响下一次计算\n",
    "        w.grad.zero_()\n",
    "        b.grad.zero_()\n",
    "    \n",
    "    #每100次打印一次结果\n",
    "    if (i + 1) % 100 == 0:\n",
    "        print(f'第{i+1}次训练，损失值: {loss.item():.4f}')#将标量张量转换为原始数值\n",
    "        \n",
    "plt.figure(figsize=(12, 5))   #绘制损失变化\n",
    "\n",
    "# 第一个图：损失变化\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(range(epochs), losses)\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('Loss')\n",
    "plt.title('Loss Curve')\n",
    "plt.grid(True)\n",
    "\n",
    "# 第二个图：拟合结果\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(x, y_true, alpha=0.6, label='Data Points')\n",
    "plt.plot(x, true_w*x + true_b, 'r--', label='True Line')  # 真实直线\n",
    "plt.plot(x.detach().numpy(), (w*x + b).detach().numpy(), 'g-', label='Fitted Line') # 拟合直线\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"训练的斜率\",w.item(),\"(真实w值:3)\")\n",
    "print(\"训练的截距\",b.item(),\"(真实b值:5)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bd685a85-2fa4-4f29-b121-a97a3ae00c4e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "93c7dda3-6b86-4521-97b9-d23a305a5a19",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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